Solve for x
x=\frac{56}{x_{7}}
x_{7}\neq 0
Solve for x_7
x_{7}=\frac{56}{x}
x\neq 0
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\frac{3\sqrt{x_{7}x+8}}{3}=\frac{24}{3}
Divide both sides by 3.
\sqrt{x_{7}x+8}=\frac{24}{3}
Dividing by 3 undoes the multiplication by 3.
\sqrt{x_{7}x+8}=8
Divide 24 by 3.
x_{7}x+8=64
Square both sides of the equation.
x_{7}x+8-8=64-8
Subtract 8 from both sides of the equation.
x_{7}x=64-8
Subtracting 8 from itself leaves 0.
x_{7}x=56
Subtract 8 from 64.
\frac{x_{7}x}{x_{7}}=\frac{56}{x_{7}}
Divide both sides by x_{7}.
x=\frac{56}{x_{7}}
Dividing by x_{7} undoes the multiplication by x_{7}.
\frac{3\sqrt{xx_{7}+8}}{3}=\frac{24}{3}
Divide both sides by 3.
\sqrt{xx_{7}+8}=\frac{24}{3}
Dividing by 3 undoes the multiplication by 3.
\sqrt{xx_{7}+8}=8
Divide 24 by 3.
xx_{7}+8=64
Square both sides of the equation.
xx_{7}+8-8=64-8
Subtract 8 from both sides of the equation.
xx_{7}=64-8
Subtracting 8 from itself leaves 0.
xx_{7}=56
Subtract 8 from 64.
\frac{xx_{7}}{x}=\frac{56}{x}
Divide both sides by x.
x_{7}=\frac{56}{x}
Dividing by x undoes the multiplication by x.
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